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On the numerical accuracy of a combined fem/radiating-surface approach for noise propagation in unbounded domains

On the numerical accuracy of a combined fem/radiating-surface approach for noise propagation in unbounded domains
On the numerical accuracy of a combined fem/radiating-surface approach for noise propagation in unbounded domains
The focus of this study is to present the limitations of a hybrid numerical method for the prediction
of sound propagation and scattering within an unbounded domain. We present a combined
Finite Element Method (FEM)/Radiating-surface approach based on a Kirchhoff’s integral formulation
with a mean flow. This work identifies the sources of numerical error inherent to the
hybrid method. A potential formulation is adopted for wave propagation and the problem is set
in the frequency domain. The finite element method is applied to solve the scattering problem
in presence of non-uniformities. The FEM solution, combined with a Perfectly Matched Layer
(PML), is mapped on a closed surface. The Kirchhoff’s radiating surface with a uniform mean
flow propagates acoustic waves in free field. The problem of radiation from a monopole source
and the scattering by a cylinder from the same source are presented as numerical examples by accounting
for a subsonic mean flow. The accuracy in the prediction of the acoustic particle velocity
is critical for the efficacy of the method. The main achievement is that the detrimental effect of
the mean flow on the pollution error can be limited by applying the hybrid method. On the other
hand, the integral formulation is exact only for a uniform mean flow.
Mancini, S.
dc0db87b-8c21-4c32-9df2-27770e939839
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Gabard, G.
bfd82aee-20f2-4e2c-ad92-087dc8ff6ce7
Sinayoko, S.
4ef613be-ccf6-44ea-84e5-8d48ee47d3d2
Tournour, M
5e76433a-af9f-4122-a593-aa42408d6daa
Mancini, S.
dc0db87b-8c21-4c32-9df2-27770e939839
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Gabard, G.
bfd82aee-20f2-4e2c-ad92-087dc8ff6ce7
Sinayoko, S.
4ef613be-ccf6-44ea-84e5-8d48ee47d3d2
Tournour, M
5e76433a-af9f-4122-a593-aa42408d6daa

Mancini, S., Astley, R.J., Gabard, G., Sinayoko, S. and Tournour, M (2015) On the numerical accuracy of a combined fem/radiating-surface approach for noise propagation in unbounded domains. ICSV 2015, Italy. 12 - 16 Jul 2015.

Record type: Conference or Workshop Item (Paper)

Abstract

The focus of this study is to present the limitations of a hybrid numerical method for the prediction
of sound propagation and scattering within an unbounded domain. We present a combined
Finite Element Method (FEM)/Radiating-surface approach based on a Kirchhoff’s integral formulation
with a mean flow. This work identifies the sources of numerical error inherent to the
hybrid method. A potential formulation is adopted for wave propagation and the problem is set
in the frequency domain. The finite element method is applied to solve the scattering problem
in presence of non-uniformities. The FEM solution, combined with a Perfectly Matched Layer
(PML), is mapped on a closed surface. The Kirchhoff’s radiating surface with a uniform mean
flow propagates acoustic waves in free field. The problem of radiation from a monopole source
and the scattering by a cylinder from the same source are presented as numerical examples by accounting
for a subsonic mean flow. The accuracy in the prediction of the acoustic particle velocity
is critical for the efficacy of the method. The main achievement is that the detrimental effect of
the mean flow on the pollution error can be limited by applying the hybrid method. On the other
hand, the integral formulation is exact only for a uniform mean flow.

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e-pub ahead of print date: July 2015
Venue - Dates: ICSV 2015, Italy, 2015-07-12 - 2015-07-16
Organisations: Acoustics Group

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Local EPrints ID: 381472
URI: https://eprints.soton.ac.uk/id/eprint/381472
PURE UUID: b524b8ad-3ec4-4f64-9b36-d3d60e3c88f9

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Date deposited: 07 Oct 2015 10:55
Last modified: 19 Jul 2019 20:33

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